A Fast Quantum Image Compression Algorithm based on Taylor Expansion

Fuente: arXiv
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Autori principali: Hai, Vu Tuan, Trinh, Huynh Ho Thi Mong, Luan, Pham Hoai
Natura: Preprint
Pubblicazione: 2025
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author Hai, Vu Tuan
Trinh, Huynh Ho Thi Mong
Luan, Pham Hoai
author_facet Hai, Vu Tuan
Trinh, Huynh Ho Thi Mong
Luan, Pham Hoai
contents With the increasing demand for storing images, traditional image compression methods face challenges in balancing the compressed size and image quality. However, the hybrid quantum-classical model can recover this weakness by using the advantage of qubits. In this study, we upgrade a quantum image compression algorithm within parameterized quantum circuits. Our approach encodes image data as unitary operator parameters and applies the quantum compilation algorithm to emulate the encryption process. By utilizing first-order Taylor expansion, we significantly reduce both the computational cost and loss, better than the previous version. Experimental results on benchmark images, including Lenna and Cameraman, show that our method achieves up to 86\% reduction in the number of iterations while maintaining a lower compression loss, better for high-resolution images. The results confirm that the proposed algorithm provides an efficient and scalable image compression mechanism, making it a promising candidate for future image processing applications.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10684
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Fast Quantum Image Compression Algorithm based on Taylor Expansion
Hai, Vu Tuan
Trinh, Huynh Ho Thi Mong
Luan, Pham Hoai
Quantum Physics
Computer Vision and Pattern Recognition
With the increasing demand for storing images, traditional image compression methods face challenges in balancing the compressed size and image quality. However, the hybrid quantum-classical model can recover this weakness by using the advantage of qubits. In this study, we upgrade a quantum image compression algorithm within parameterized quantum circuits. Our approach encodes image data as unitary operator parameters and applies the quantum compilation algorithm to emulate the encryption process. By utilizing first-order Taylor expansion, we significantly reduce both the computational cost and loss, better than the previous version. Experimental results on benchmark images, including Lenna and Cameraman, show that our method achieves up to 86\% reduction in the number of iterations while maintaining a lower compression loss, better for high-resolution images. The results confirm that the proposed algorithm provides an efficient and scalable image compression mechanism, making it a promising candidate for future image processing applications.
title A Fast Quantum Image Compression Algorithm based on Taylor Expansion
topic Quantum Physics
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2502.10684